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// Copyright (c) 2005-2008 Max-Planck-Institute Saarbruecken (Germany). // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Minkowski_sum_3/include/CGAL/Minkowski_sum_3/Gaussian_map_to_nef_3.h $ // $Id: include/CGAL/Minkowski_sum_3/Gaussian_map_to_nef_3.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Peter Hachenberger #ifndef CGAL_MINKOWSKI_GAUSSIAN_MAP_TO_NEF_3_H #define CGAL_MINKOWSKI_GAUSSIAN_MAP_TO_NEF_3_H #include #include #include #include namespace CGAL { template class Gaussian_map_to_nef_3 : public Modifier_base { typedef typename Nef3::Kernel Kernel; typedef typename Nef3::SNC_structure SNC_structure; typedef typename SNC_structure::Sphere_map Sphere_map; typedef CGAL::SM_decorator SM_decorator; typedef CGAL::Gaussian_map Gaussian_map; typedef typename Gaussian_map::SFace_const_iterator SFace_const_iterator; typedef typename Gaussian_map::SFace_const_handle SFace_const_handle; typedef typename Gaussian_map::SHalfedge_const_iterator SHalfedge_const_iterator; typedef typename Gaussian_map::SHalfedge_const_handle SHalfedge_const_handle; typedef typename Gaussian_map::SHalfloop_const_handle SHalfloop_const_handle; typedef typename Gaussian_map::SVertex_const_iterator SVertex_const_iterator; typedef typename Gaussian_map::SVertex_const_handle SVertex_const_handle; typedef typename Gaussian_map::SHalfedge_around_sface_const_circulator SHalfedge_around_sface_const_circulator; typedef typename SNC_structure::Vertex_handle Vertex_handle; typedef typename SNC_structure::SVertex_handle SVertex_handle; typedef typename SNC_structure::SHalfedge_handle SHalfedge_handle; typedef typename SNC_structure::SFace_handle SFace_handle; typedef typename SNC_structure::Sphere_circle Sphere_circle; typedef typename SNC_structure::Sphere_point Sphere_point; const Gaussian_map& G; public: Gaussian_map_to_nef_3(const Gaussian_map& Gin) : G(Gin) {} void create_solid(SNC_structure& snc) { CGAL::Unique_hash_map SE2i; SHalfedge_const_iterator sei; CGAL_forall_sedges(sei, G) { SE2i[sei] = Index_generator::get_unique_index(); SE2i[sei->twin()] = SE2i[sei]; } CGAL::Unique_hash_map > SV2i; SVertex_const_iterator svi; CGAL_forall_svertices(svi, G) SV2i[svi] = std::pair (Index_generator::get_unique_index(), Index_generator::get_unique_index()); CGAL::Unique_hash_map sface2vertex; SFace_const_iterator sfi; for(sfi = G.sfaces_begin(); sfi != G.sfaces_end(); ++sfi) { sface2vertex[sfi] = snc.new_vertex(sfi->mark().point(), sfi->mark().boolean()); } for(sfi = G.sfaces_begin(); sfi != G.sfaces_end(); ++sfi) { Vertex_handle v = sface2vertex[sfi]; SM_decorator SM(&*v); SHalfedge_const_handle sec = sfi->sface_cycles_begin(); SHalfedge_around_sface_const_circulator sfc(sec), sfcend(sfc); SVertex_handle sv, sv_prev, sv_first; SHalfedge_handle se, se_prev, se_first; sv_first = SM.new_svertex(sface2vertex[sfc->twin()->incident_sface()]->point()-v->point()); sv_first->mark() = sfc->mark().boolean(); sv_first->set_index(SE2i[sfc]); ++sfc; sv_prev = sv = SM.new_svertex(sface2vertex[sfc->twin()->incident_sface()]->point()-v->point()); sv->mark() = sfc->mark().boolean(); sv->set_index(SE2i[sfc]); se_first = se_prev = SM.new_shalfedge_pair(sv_first, sv_prev); se_first->mark() = se_first->twin()->mark() = sfc->source()->mark().boolean(); se_first->set_index(SV2i[sfc->source()].first); se_first->twin()->set_index(SV2i[sfc->source()].second); se_first->circle() = Sphere_circle(sv_first->point(), sv->point()); se_first->circle() = normalized(se_first->circle()); se_first->twin()->circle() = se_first->circle().opposite(); ++sfc; CGAL_For_all(sfc,sfcend) { sv = SM.new_svertex(sface2vertex[sfc->twin()->incident_sface()]->point()-v->point()); sv->mark() = sfc->mark().boolean(); sv->set_index(SE2i[sfc]); se = SM.new_shalfedge_pair(sv_prev, sv); se->mark() = se->twin()->mark() = sfc->source()->mark().boolean(); se->set_index(SV2i[sfc->source()].first); se->twin()->set_index(SV2i[sfc->source()].second); se->circle() = Sphere_circle(sv_prev->point(), sv->point()); se->circle() = normalized(se->circle()); se->twin()->circle() = se->circle().opposite(); se->sprev() = se_prev; se_prev->snext() = se; sv_prev = sv; se_prev = se; } se = SM.new_shalfedge_pair(sv_prev, sv_first); se->mark() = se->twin()->mark() = sfc->source()->mark().boolean(); se->set_index(SV2i[sfc->source()].first); se->twin()->set_index(SV2i[sfc->source()].second); se->circle() = Sphere_circle(sv_prev->point(), sv_first->point()); se->circle() = normalized(se->circle()); se->twin()->circle() = se->circle().opposite(); se->sprev() = se_prev; se_prev->snext() = se; se_first->sprev() = se; se->snext() = se_first; SFace_handle sf0 = SM.new_sface(); SFace_handle sf1 = SM.new_sface(); sf0->mark() = false; sf1->mark() = true; SM.link_as_face_cycle(se,sf0); SM.link_as_face_cycle(se->twin(),sf1); } } void create_single_vertex(SNC_structure& snc) { Vertex_handle v = snc.new_vertex(G.sfaces_begin()->mark().point(), G.sfaces_begin()->mark().boolean()); SM_decorator SM(&*v); SFace_handle sf = SM.new_sface(); sf->mark() = false; } void create_single_edge(SNC_structure& snc) { SHalfloop_const_handle slc = G.shalfloop(); Vertex_handle v0 = snc.new_vertex(slc->incident_sface()->mark().point(), slc->incident_sface()->mark().boolean()); SM_decorator SM0(&*v0); SVertex_handle sv0 = SM0.new_svertex(); sv0->point() = slc->circle().orthogonal_vector(); sv0->mark() = true; SFace_handle sf0 = SM0.new_sface(); sf0->mark() = false; SM0.link_as_isolated_vertex(sv0, sf0); Vertex_handle v1 = snc.new_vertex(slc->twin()->incident_sface()->mark().point(), slc->twin()->incident_sface()->mark().boolean()); SM_decorator SM1(&*v1); SVertex_handle sv1 = SM1.new_svertex(); sv1->point() = sv0->point().antipode(); sv1->mark() = true; SFace_handle sf1 = SM1.new_sface(); sf1->mark() = false; SM1.link_as_isolated_vertex(sv1, sf1); } void create_single_facet(SNC_structure& snc) { CGAL::Unique_hash_map SE2i; SHalfedge_const_iterator sei; CGAL_forall_sedges(sei, G) { SE2i[sei] = Index_generator::get_unique_index(); SE2i[sei->twin()] = SE2i[sei]; } CGAL::Unique_hash_map > SV2i; SVertex_const_iterator svi; CGAL_forall_svertices(svi, G) SV2i[svi] = std::pair (Index_generator::get_unique_index(), Index_generator::get_unique_index()); CGAL::Unique_hash_map sface2vertex; SFace_const_iterator sfi; for(sfi = G.sfaces_begin(); sfi != G.sfaces_end(); ++sfi) { sface2vertex[sfi] = snc.new_vertex(sfi->mark().point(), sfi->mark().boolean()); } for(sfi = G.sfaces_begin(); sfi != G.sfaces_end(); ++sfi) { Vertex_handle v = sface2vertex[sfi]; SM_decorator SM(&*v); SHalfedge_const_handle sec = sfi->sface_cycles_begin(); SHalfedge_around_sface_const_circulator sfc(sec); SVertex_handle sv0 = SM.new_svertex(sface2vertex[sfc->twin()->incident_sface()]->point()-v->point()); sv0->mark() = sfc->mark().boolean(); sv0->set_index(SE2i[sfc]); ++sfc; SVertex_handle sv1 = SM.new_svertex(sface2vertex[sfc->twin()->incident_sface()]->point()-v->point()); sv1->mark() = sfc->mark().boolean(); sv1->set_index(SE2i[sfc]); SHalfedge_handle se = SM.new_shalfedge_pair(sv0, sv1); se->mark() = se->twin()->mark() = sfc->source()->mark().boolean(); se->set_index(SV2i[sfc->source()].first); se->twin()->set_index(SV2i[sfc->source()].second); se->circle() = Sphere_circle(sv0->point(), sv1->point()); se->circle() = normalized(se->circle()); se->twin()->circle() = se->circle().opposite(); SFace_handle sf = SM.new_sface(); sf->mark() = false; SM.link_as_face_cycle(se, sf); } } void operator()(SNC_structure& snc) { snc.clear(); if(G.number_of_sfaces() == 1) create_single_vertex(snc); else if(G.number_of_sfaces() == 2) create_single_edge(snc); else if(G.number_of_svertices() == 2) create_single_facet(snc); else create_solid(snc); } }; } //namespace CGAL #endif // CGAL_MS3_GAUSSIAN_MAP_TO_NEF_3_H